Alex wants to multiply a number by 12. First, she multiplies the number by 6. What number does she now need to multiply her answer by?
Question
Alex wants to multiply a number by 12.
First, she multiplies the number by 6. What number does she now need to multiply her answer by?
Solution
Break Down the Problem
- Alex first multiplies a number by 6.
- We need to determine what number she should multiply the result by in order to get the same result as multiplying by 12.
Relevant Concepts
- If we want to find the equivalent multiplication, we can set up the equation: Where is the number we need to find.
Analysis and Detail
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From the equation , we can divide both sides by (assuming ):
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Now, solve for :
Verify and Summarize
- The calculations indicate that Alex needs to multiply her answer by 2 in order to achieve the equivalent result of multiplying her original number by 12.
Final Answer
Alex now needs to multiply her answer by 2.
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